A vessel in the form of a hemispherical bowl is full of water. The con

1.	A vessel in the form of a hemispherical bowl is full of water. The contents are emptired into a cylinder. The internal radii of the bowl and cylinder are respectively 6 cm and 4 cm. Find the height of water in the cylinder.
Answer» Volume of a hemisphere = (\(\frac{2}{3}\))πr³ Volume of a cylinder = πr²h Given, Internal radii of the bowl and cylinder are respectively 6 cm and 4 cm. ⇒ \(\frac{2}{3}\) x π x 6³ = π x 4² x h ⇒ h = 9 cm

A vessel in the form of a hemispherical bowl is full of water. The contents are emptired into a cylinder. The internal radii of the bowl and cylinder are respectively 6 cm and 4 cm. Find the height of water in the cylinder.

Answer»

Volume of a hemisphere = (\(\frac{2}{3}\))πr³

Volume of a cylinder = πr²h

Given,

Internal radii of the bowl and cylinder are respectively 6 cm and 4 cm.

⇒ \(\frac{2}{3}\) x π x 6³ = π x 4² x h

⇒ h = 9 cm